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56149362720 = 253251122314011
BaseRepresentation
bin110100010010110000…
…110100100000100000
312100221010221011102200
4310102300310200200
51404443214101340
641443351413200
74025301464643
oct642260644040
9170833834380
1056149362720
11218a3940300
12aa70384200
1353aaa735a9
142a092dda5a
1516d9683330
hexd12c34820

56149362720 has 432 divisors, whose sum is σ = 219785057856. Its totient is φ = 13019212800.

The previous prime is 56149362683. The next prime is 56149362751. The reversal of 56149362720 is 2726394165.

56149362720 is a `hidden beast` number, since 5 + 6 + 14 + 9 + 3 + 627 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4000515 + ... + 4014525.

It is an arithmetic number, because the mean of its divisors is an integer number (508761708).

Almost surely, 256149362720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56149362720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109892528928).

56149362720 is an abundant number, since it is smaller than the sum of its proper divisors (163635695136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

56149362720 is a wasteful number, since it uses less digits than its factorization.

56149362720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14077 (or 14055 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 56149362720 in words is "fifty-six billion, one hundred forty-nine million, three hundred sixty-two thousand, seven hundred twenty".